THIS. THIS is what I want! Well, I'm pretty sure anyway. Single level, medium size deck with roof (#1RTW7002).
Covered Deck with windowbox container garden is a creative use of backyard space and landscaping idea for vertical space
Extension with part covered decking finished with Oak timber & toughened glass roof. Project completed in 6 weeks. 2011
Solid Patio Aluminium Metal Roof Cover Design
Someday: Traditional Patio Covered Patio Design, Pictures, Remodel, Decor and Ideas - page 174
Covered deck, with glass panels - fabulous! I can still grow all of my herbs etc....although we would require the glass to be tinted to provide some relief from the sun!
photos of partially covered decks - Google Search
Small city garden - contemporary - patio - amsterdam - Boekel Tuinen
Such a cute deck! http://cache3.indulgy.net/l8/gC/RA/149322543864517946Pp6YHBuNc.jpg